Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions
We find sharp sufficient conditions for the boundedness of fractional derivatives of a bounded analytic function in a Stolz angle. If F ≠ 0 in the unit disc, the necessary and sufficient conditions for the boundedness of fractional derivatives of its argument in a Stolz angle are established.
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| Date: | 2017 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2017
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| Series: | Журнал математической физики, анализа, геометрии |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/140567 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions / I. Chyzhykov, Yu. Kosaniak // Журнал математической физики, анализа, геометрии. — 2017. — Т. 13, № 2. — С. 107-118. — Бібліогр.: 15 назв. — англ. |